Plane Radio
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More Great Information on Plane Radio:
Plane Crash Kills 3 People North Of Glencoe (wcco.com/local/resources)
At least three people have been killed in a small airplane crash just north of
Glencoe on Wednesday, according to the Federal Aviation Administration.
Superimposition of EM Waves?
A radio telescope consists of two antennas separated by a distance of 192.0 m. Both antennas are tuned to a particular frequency, such as 20.0 MHz. The signals from each antenna are fed into a common amplifier, but one signal first passes through a phase adjuster that delays its phase by a chosen amount so that the telescope can look in different directions. When the phase delay is zero, plane radio waves that are incident vertically on the antennas produce signals that add constructively at the amplifier. What should the phase delay be so that signals coming from an angle 10.0 ° with the vertical (in the plane formed by the vertical and the line joining the antennas) will add constructively at the amplifier? The speed of light is 3.000×108 m/s.
I have absolutely no idea what I am doing or how to go about this. Any help would be greatly appreciated! If you could explain your reasoning on how to do the problem too it would really help! Thank you in advance!
First, make sure your calculator is in degrees.
y = v/f where v = the speed of light (3x10^8) and f is the frequency in Hz
y = the distance from the source to the plane of the antennas
In your case...
y = 3*10^8 / 20*10^6
y = 15 meters
Next, solve for m.
d*sin(given angle) = m*y where d = the distance between the antennas
[192.0 * sin(10)] / 15 meters = m
m = 2.2227
Remember that m must be an integer. (constructive waves)
To find the phase factor, you must remove any integers on the wave.
2.2227 - 2 = 0.2227 = the phase factor.
Finally, the answer must be put into radians.
0.2227 * (2*pi) = 1.399 rad = phase delay of the signals.